Biblioteca de la Universidad Complutense de Madrid

Projections of Grassmannians of lines and characterization of Veronese varieties

Impacto



Arrondo Esteban, Enrique (1999) Projections of Grassmannians of lines and characterization of Veronese varieties. Journal of algebraic geometry, 8 (1). pp. 85-98. ISSN 1056-3911

[img] PDF
Restringido a Sólo personal autorizado del repositorio hasta 2020.

146kB

URL Oficial: http://arxiv.org/pdf/alg-geom/9703032.pdf



Resumen

We characterize the double Veronese embedding of P-n as the only variety that, under certain general conditions, can be isomorphically projected from the Grassmannian of lines in P2n+1 to the Grassmannian of lines in Pn+1.


Tipo de documento:Artículo
Palabras clave:Superadditivity
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:14842
Referencias:

[°Ad] °Adslandvik, B., Varieties with an extremal number of degenerate higher secant varieties,

Journal reine angew. Math., 392 (1987), 213-222.

[Ar] Arrondo, E., Subvarieties of Grassmannians, Lecture Notes Series Dipartimento di

Matematica Univ. Trento, 10, 1996.

[ABT] Arrondo, E. – Bertolini, M. – Turrini, C., Congruences of small degree in G(1, 4),

Preprint 1996.

[A-S] Arrondo, E. – Sols, I., On congruences of lines in the projective space, M´em. Soc.

Math. France, 50, 1992.

[F] Fantechi, B., On the superadditivity of secant defects, Bull. Soc. Math. France, 118

(1990), 85-100.

[H-R] Holme, A. – Roberts, J., Zak’s theorem on superadditivity, Ark. Mat., 32 (1994),

99-120.

[S] Severi, F., Intorno ai punti doppi impropri di una superficie generale dello spazio a

quattro dimensioni, e a suoi punti tripli apparenti, Rend. Circ. Mat. Palermo, II,

Ser. 15 (1901), 377-401.

[Z1] Zak, F.L., Linear systems of hyperplane sections on varieties of low codimension,

Functional Anal. Appl. 19 (1986), 165-173.

[Z2] Zak, F.L., Tangents and Secants of Algebraic Varieties, Transl. Math. Monographs

AMS 127, 1993.

14

Depositado:18 Abr 2012 10:16
Última Modificación:06 Feb 2014 10:10

Sólo personal del repositorio: página de control del artículo